Choose the correct alternative answer for the following question. If measure of an arc of a circle is $160^\circ$ and its length is 44 cm, find the circumference of the circle.

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KollegeApply · Accepted Answer

The measure of the arc of a circle, $\theta$ = 160º Let r be the radius of the circle. Length of the arc = 44 cm \therefore $\theta$/$360^\circ$ $\times$ 2$\pi$ r = 44 \Rightarrow $160^\circ$ /$360^\circ$ $\times$ 2$\pi$ r = 44 \Rightarrow 2$\pi$ r = \frac{44 $\times$ $360^\circ$ }{$160^\circ$ } = 99 cm Thus, the circumference of the circle is 99 cm.

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